Aptitude - Alligation or Mixture - Discussion
Discussion Forum : Alligation or Mixture - General Questions (Q.No. 15)
15.
A merchant has 1000 kg of sugar, part of which he sells at 8% profit and the rest at 18% profit. He gains 14% on the whole. The quantity sold at 18% profit is:
Answer: Option
Explanation:
By the rule of alligation, we have:
| Profit on 1st part Profit on 2nd part | ||
| 8% | Mean Profit 14% | 18% |
| 4 | 6 | |
Ration of 1st and 2nd parts = 4 : 6 = 2 : 3
 Quantity of 2nd kind = |
 |
3 | x 1000 |  kg |
= 600 kg. |
| 5 |
Discussion:
44 comments Page 2 of 5.
Rajesh said:
1 decade ago
Yes its suggest how you found 3/5?
Math_lover said:
1 decade ago
The ratio is 2:3 which means 2 parts of 1st type and 3 parts of 2nd type and total of 1st and 2nd type is 5 parts.
Taking the fraction of 2nd type of sugar to total amount, we get 3/5 :).
Taking the fraction of 2nd type of sugar to total amount, we get 3/5 :).
Himanshu said:
1 decade ago
In allegation formula we put the cost price, but here we are putting the selling price, why?
Robin said:
1 decade ago
@Himanshu.
Basically, the allegation formula is deployed w.r.t unit of mean quantity, not specifically on cost price, which is profit% in this case.
Basically, the allegation formula is deployed w.r.t unit of mean quantity, not specifically on cost price, which is profit% in this case.
Sarath said:
1 decade ago
Why we have to do 18%-14% and 14%-8% and put it on right left?
Anjali said:
1 decade ago
@Sarath. As you are mixing with each of its kind so. The allegation formula suggests us to subtract the cheaper from the mean and to subtract the dearer from the mean. The resultant is the C.P of the mixtures. Is it now clear to you?
Gokul said:
10 years ago
If 18-14 = 4 and 14-8 = 6.
Then the ratio must be 3:2 for a:b how come it is 2:3?
Then the ratio must be 3:2 for a:b how come it is 2:3?
Madhav Kudikyal said:
10 years ago
Thanks it just cleared my doubt.
Krishna Rathi said:
10 years ago
Any alternative way to solving this question?
(1)
Nidhi said:
9 years ago
Suppose x part is for 8% and y is for 18% then,
x+y = 1000.
8x+18y = (x+y)14.
x/y = 2/3.
y = 3/5*1000.
y = 600.
x+y = 1000.
8x+18y = (x+y)14.
x/y = 2/3.
y = 3/5*1000.
y = 600.
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